(1-x)/(1-2*x) =
1 + x + 2 x^2 + 4 x^3 + 8 x^4 + 16 x^5 + 32 x^6 + 64 x^7 + 128 x^8 + 256 x^9 + 512 x^10 + 1024 x^11 + 2048 x^12 + 4096 x^13 + 8192 x^14 + 16384 x^15 + 32768 x^16 + 65536 x^17 + 131072 x^18 + 262144 x^19 + 524288 x^20 + 1048576 x^21 + 2097152 x^22 + 4194304 x^23 + 8388608 x^24 + 16777216 x^25 + 33554432 x^26 + 67108864 x^27 + 134217728 x^28 + 268435456 x^29 + 536870912 x^30 + 1073741824 x^31 + 2147483648 x^32 + 4294967296 x^33 + 8589934592 x^34 + 17179869184 x^35 + 34359738368 x^36 + 68719476736 x^37 + 137438953472 x^38 + 274877906944 x^39 + 549755813888 x^40 + 1099511627776 x^41 + 2199023255552 x^42 + 4398046511104 x^43 + 8796093022208 x^44 + 17592186044416 x^45 + 35184372088832 x^46 + 70368744177664 x^47 + 140737488355328 x^48 + 281474976710656 x^49 + 562949953421312 x^50 + 1125899906842624 x^51 + 2251799813685248 x^52 + 4503599627370496 x^53 + 9007199254740992 x^54 + 18014398509481984 x^55 + 36028797018963968 x^56 + O(x^57) (Taylor series) (converges when abs(x)<1/2)
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